LCM of 321, 524, 492, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 524, 492, 192 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 321, 524, 492, 192. So, keep reading to learn more.
Given numbers are 321,524,492,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,524,492,192 is 110341824.
Find LCM of 321,524,492,192 with Prime Factorization
| 2 | 321, 524, 492, 192 |
| 2 | 321, 262, 246, 96 |
| 3 | 321, 131, 123, 48 |
| 107, 131, 41, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 131 x 41 x 16 = 110341824
Therefore, the lowest common multiple of 321,524,492,192 is 110341824.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
321 x 524 x 492 x 192 = 15889222656
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
321 : 1, 3, 107, 321
524 : 1, 2, 4, 131, 262, 524
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,524,492,192, is 1.
Now, the common factors can be found like this.
321:3x 107
524:2x 2x 131
492:2x 2x 3x 41
192:2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 15889222656/(1x144)
LCM = 15889222656/144
LCM = 110341824
Thus, we can understand that the LCM of 321,524,492,192 is 110341824.
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FAQs on LCM of 321, 524, 492, 192
1. What is the LCM of 321, 524, 492, 192?
Answer: LCM of 321, 524, 492, 192 is 110341824.
2. How to calculate the LCM of 321, 524, 492, 192?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 321, 524, 492, 192.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.